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Finding the Fourth Proportional to 61.25, 84.51 and 49.05

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Solution

The fourth proportional to 61.25, 84.51 and 49.05 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.25 : 84.51 = 49.05 : x
  2. Step 2: Convert to fraction form
    61.25/84.51 = 49.05/x
  3. Step 3: Cross multiply
    61.25x = 84.51 × 49.05
  4. Step 4: Simplify right side
    61.25x = 4,145.22
  5. Step 5: Solve for x
    x = 4,145.22/61.25
  6. Step 6: Final answer
    x = 67.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.